During the hand to hand fight sequence the number and position of the soldiers standing around watching changes between shots.
During the hand to hand combat sequence, Goose's choke hold on Hawks switches from his right arm to his left arm between shots.
In the beginning of the movie, one of the bad guys is shot through the windshield of the pick-up truck he is sitting in. But the glass doesn't shatter and never even shows a scratch. A little later, a pick-up truck is shot at with a bazooka. The only thing that happens is a small fire in the bed of the truck.
Lt. Col. Strauss incorrectly wears his rank on both lapels of his collar in his battle dress uniform. He should be wearing his branch insignia on his left lapel.
Multiple times throughout the film, soldiers are seen not wearing rank on their hats or unit patches on their uniforms.
When Hawks is walking to Lt. Col. Strauss' office for the first time he is saluted by two soldiers and addressed as 'sir', even though he is wearing the rank of Sergeant and not that of an officer.